Water travels through a garden hose of inner radius 3.7 cm at a speed of 215.0 cm/s. If the speed of the water at the nozzle is 364.0 cm/s, what is the inner radius of the nozzle in cm ?
2.Water flows through a rectangular pipe at a speed of 2.43 m/s. The cross-sectional area of the pipe has a width W = 2.88 cm and a length L = 37.0 cm. The pipe then runs through a connection that changes the cross sectional area of the pipe to a circle. If the speed of water in the circular pipe is now 11.0 m/s, what is the radius R of the new pipe? Give your answer in cm.
Note: ignore viscosity.
3. A pipe carries water horizontally at a pressure of 1.0 atm, with the water flowing at a speed of 2.0 m/s. The water is then to be diverted downwards and continue through a horizontal pipe located 2.8 m below the first segment of pipe (labelled as h in the diagram below). If the width of the pipe remains constant, what is the pressure of the water in the lower pipe (in atm)?
Note that the density of water is 1000 kg/m3, and that 1 atm = 101.3 kPa.
Hint: What does the continuity equation tell you about the speed of the water in the lower portion?
4.A bucket is filled to the brim with water. A rock is dropped into the bucket, causing 79.9 mL of water to spill out. Once dropped into the bucket, the rock appears to have 88.0 % of its original mass. Use this information, along with Archimedes principle, to determine the true mass of the rock in grams.
Note: The density of water is 1.00 g/cm3, and 1 L = 1000 cm3.